关于用list做关于一元多项式相加的问题

//Polynomial.h   多项式头文件
#include<iostream>
#include<list>
#include<string>
using namespace std;
class Polynomial
{
public:
    Polynomial(float cf=0,int ep=0)
        :coef(cf),exp(ep){}
    Polynomial(Polynomial &p)
        :coef(p.coef),exp(p.exp){}
    float getCoef();
    int getExp();
    void showPolynomial()
    {
        cout << "(" << coef << "," << exp << ")" <<endl;
    }
private:
    float coef;  //系数
    int exp;        //指数
};
float Polynomial::getCoef()
{
    return coef;
}
int Polynomial::getExp()
{
    return exp;
}



//Polynomial.cpp
#include<iostream>
#include<list>
#include"Polynomial.h"
using namespace std;
const   float   EPSINON   =   0.00001;
//初始化
template<class T>
void initPolynomial(list<T> &p)
{
    float coef;
    int exp;
    while(true)
    {
        cout << "Enter a coef or Enter 0 to end:";
        cin >> coef;
        if((coef >= -EPSINON) && (coef <= EPSINON))
            break;
        cout << "Enter a exp:";
        cin >> exp;
        p.push_back(Polynomial(coef,exp));

    }
}
//加法
//template<class T>
//list<T> addPolynomial(list<T> &p1,list<T> &p2)
//{
//    auto iter(p1.begin().);                          这里iter指向不到list的头指针
//    iter.
//   
//}




int main()
{
    list<Polynomial> polynomial_one;
    list<Polynomial> polynomial_two;
    cout << "输入第一个多项式："<<endl;
    initPolynomial(polynomial_one);
    cout << "输入第二个多项式："<<endl;
    initPolynomial(polynomial_two);
    /*addPolynomial(polynomial_one,polynomial_two);*/

    cout << endl;
    /*auto iter(polynomial_one.begin());     这里用iter取到list的指针  能指向getCoef（）方法
      while(iter != polynomial_one.end())
    {
        iter++ ->showPolynomial();
    }*/
    system("pause");
}



 我想用加法函数分别提取2个多项式的 系数和指数进行比较 相加但是list<T> addPolynomial(list<T> &p1,list<T> &p2) 中的iter指向不到，请问该用什么方法